Finding the Third Proportional to 13,894 and 21,355

Step by Step Solution

1. Step 1: Write the proportion equation
   13,894 : 21,355 = 21,355 : x
2. Step 2: Convert to fraction form
   13,894/21,355 = 21,355/x
3. Step 3: Cross multiply
   13,894x = 21,355 × 21,355
4. Step 4: Simplify right side
   13,894x = 456,036,025
5. Step 5: Solve for x
   x = 456,036,025/13,894
6. Step 6: Final answer
   x = 32,822.52